Search a number
-
+
378822960 = 243351091609
BaseRepresentation
bin10110100101000…
…110000100110000
3222101211012102000
4112211012010300
51233434313320
6101331254000
712246641055
oct2645060460
9871735360
10378822960
1118492132a
12a6a4a300
13606384c9
143845102c
15233cdc90
hex16946130

378822960 has 160 divisors (see below), whose sum is σ = 1317624000. Its totient is φ = 100030464.

The previous prime is 378822953. The next prime is 378822971. The reversal of 378822960 is 69228873.

378822960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234636 + ... + 236244.

It is an arithmetic number, because the mean of its divisors is an integer number (8235150).

Almost surely, 2378822960 is an apocalyptic number.

378822960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378822960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658812000).

378822960 is an abundant number, since it is smaller than the sum of its proper divisors (938801040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

378822960 is a wasteful number, since it uses less digits than its factorization.

378822960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 378822960 is about 19463.3748358295. The cubic root of 378822960 is about 723.5670213155.

The spelling of 378822960 in words is "three hundred seventy-eight million, eight hundred twenty-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 109 120 135 144 180 216 218 240 270 327 360 432 436 540 545 654 720 872 981 1080 1090 1308 1609 1635 1744 1962 2160 2180 2616 2943 3218 3270 3924 4360 4827 4905 5232 5886 6436 6540 7848 8045 8720 9654 9810 11772 12872 13080 14481 14715 15696 16090 19308 19620 23544 24135 25744 26160 28962 29430 32180 38616 39240 43443 47088 48270 57924 58860 64360 72405 77232 78480 86886 96540 115848 117720 128720 144810 173772 175381 193080 217215 231696 235440 289620 347544 350762 386160 434430 526143 579240 695088 701524 868860 876905 1052286 1158480 1403048 1578429 1737720 1753810 2104572 2630715 2806096 3156858 3475440 3507620 4209144 4735287 5261430 6313716 7015240 7892145 8418288 9470574 10522860 12627432 14030480 15784290 18941148 21045720 23676435 25254864 31568580 37882296 42091440 47352870 63137160 75764592 94705740 126274320 189411480 378822960